An all-interval tetrachord is a tetrachord, a collection of four pitch classes, containing all six interval classes. There are only two possible all-interval tetrachords. In set theory notation, these are (4-Z15) and (4-Z29). The interval vector for both all-interval tetrachords is .
Read more about All-interval Tetrachord: Table of Interval Classes As Relating To All-interval Tetrachords, Use in Modern Music
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... The unique qualities of the all-interval tetrachord have made it very popular in 20th-century music ...